Carbon-nanotube geometries: analytical and numerical results
type: Item
instance of: scholarly article
title: Carbon-nanotube geometries: analytical and numerical results
zbMATH Open document ID: 1362.82059
author: Edoardo Mainini
author: Hideki Murakawa
author: Paolo Piovano
author: Ulisse Stefanelli
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2017-01-09T00:00:00Z
review text: This short review of analytical and numerical results published during the last two decades (there are 24 items in the list) has the main goal to analyze the possibility of describing nanotube geometries on a purely variational ground. A number of different continuum and atomistic models like the so-called zigzag and armchair nanotubes is analyzed. Among the considered atomistic models, especially two have drawn the most attention. These are the classical rolled-up model and the Cox-Hill model (known as polyhedral model).
reviewed by: Yulianna Perepelkina
Mathematics Subject Classification ID: 82D80
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 6672855
zbMATH Keywords: carbon nanotubes
zbMATH Keywords: Tersoff energy
zbMATH Keywords: variational perspective
zbMATH Keywords: new geometrical model
zbMATH Keywords: stability
zbMATH Keywords: Cauchy-Born rule
MaRDI profile type: Publication
full work available at URL: dcdss.2017008
OpenAlex ID: W2566179112
cites work: On the crystallization of 2D hexagonal lattices
cites work: Objective structures
cites work: Crystallization in carbon nanostructures
DOI: 10.3934/DCDSS.2017008
description: scientific article; zbMATH DE number 6672855